1. Tardigrade
  2. Question
  3. Mathematics
  4. The value of the determinant |a&a+2b&a+4b a+2b&a+4b&a+6b a+4b&a+6b&a+8b| is equal to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The value of the determinant $\begin{vmatrix}a&a+2b&a+4b\\ a+2b&a+4b&a+6b\\ a+4b&a+6b&a+8b\end{vmatrix}$ is equal to

Determinants

Solution:

Operating $R_{2} \to R_{2} -R_{1} $
and $R_{3 } \to R_{3} - R_{2} ,$ we get
$\begin{vmatrix}a&a+2b&a+4b\\ 2b&2b&2b\\ 2b&2b&2b\end{vmatrix}$
which is certainly 0 as $R_2 = R_3$.